Nonequilibrium Steady States and MacLennan-Zubarev Ensembles in a Quantum Junction System
arXiv:cond-mat/0606259 · doi:10.1143/PTPS.165.57
Abstract
Based on a recent progress in nonequilibrium statistical mechanics of infinitely extended quantum systems, a nonequlibrium steady state (NESS) is constructed for a single-level quantum dot interacting with two free reservoirs under less general but more practically useful conditions than the previous works. As an example, a model of an Ahoronov-Bohm ring with a quantum dot is studied in detail. Then, NESS is shown to be regarded as a MacLennan-Zubarev ensemble. A formal relation between response and correlation at NESS is derived as well.
submitted to Progress of Theoretical Physics
Cited by in corpus (15)
- Nonequilibrium density matrix description of steady state quantum transport
- Nonequilibrium density matrix for quantum transport: Hershfield approach as a McLennan-Zubarev form of the statistical operator
- Nonequilibrium Thermodynamics and Steady State Density Matrix for Quantum Open Systems
- Nonequilibrium density matrix for simultaneous heat and charge steady-state transport in quantum open systems
- Nonequilibrium distribution functions for quantum transport: universality and approximation for the steady state regime
- Quantum thermodynamics of nanoscale steady states far from equilibrium
- Asymptotic non-equilibrium steady state operators
- Relaxation to Gaussian Generalized Gibbs Ensembles in Quadratic Bosonic Systems in the Thermodynamic Limit
- Typical Pure Nonequilibrium Steady States
- Entanglement of Electrons Field-Emitted from a Superconductor
- Interference of Cooper Pairs Emitted from Independent Superconductors
- Nonequilibrium fluctuation-dissipation relations for one- and two-particle correlation functions in steady-state quantum transport
- Typical pure nonequilibrium steady states and irreversibility for quantum transports
- Quantum Coherence of Electrons Field-Emitted from a Superconductor: Correlations and Entanglement
- Quenched large deviations of Birkhoff sums along random quantum measurements